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x^2/3 + 4x^1/3 - 5 = 0
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quberoot(x^2) + quberoot(4x) - 5= 0
you can solve this as a quadratic equation since the ratio of the exponents of the first two terms is 2:1\[\left( x^{1/3} \right)^2+4\left( x^{1/3} \right)^1-5=0\]
solve as usual by factoring by solve for x^(1/3) instead of the usual x...
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\[(x^{1/3}+5)(x^{1/3}+1)=0\]\[x^{1/3}+5=0 \cup x^{1/3}-1=0\]\[x^{1/3}=-5 \cup x^{1/3}=1\]\[x=(-5)^3=-125 \cup x=1^3=1\]Solution set is {-125, 1}
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happy to do it
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